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Finding the Fourth Proportional to 6,902.81, 10,351.82 and 1,971.12

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Solution

The fourth proportional to 6,902.81, 10,351.82 and 1,971.12 is: 2,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.81 : 10,351.82 = 1,971.12 : x
  2. Step 2: Convert to fraction form
    6,902.81/10,351.82 = 1,971.12/x
  3. Step 3: Cross multiply
    6,902.81x = 10,351.82 × 1,971.12
  4. Step 4: Simplify right side
    6,902.81x = 20,404,679.44
  5. Step 5: Solve for x
    x = 20,404,679.44/6,902.81
  6. Step 6: Final answer
    x = 2,956.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.